4013084952576 has 864 divisors, whose sum is σ = 14467126564800. Its totient is φ = 1048438702080.

The previous prime is 4013084952553. The next prime is 4013084952589. The reversal of 4013084952576 is 6752594803104.

It is a happy number.

4013084952576 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 0 + 8 + 49 + 525 + 76 = 666.

It is a super-2 number, since 2×4013084952576² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1350750771 + ... + 1350753741.

It is an arithmetic number, because the mean of its divisors is an integer number (16744359450).

It is a 1-persistent number, because it is pandigital, but 2⋅4013084952576 = 8026169905152 is not.

Almost surely, 2^{4013084952576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013084952576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233563282400).

4013084952576 is an abundant number, since it is smaller than the sum of its proper divisors (10454041612224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4013084952576 is a wasteful number, since it uses less digits than its factorization.

4013084952576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4013084952576 in words is "four trillion, thirteen billion, eighty-four million, nine hundred fifty-two thousand, five hundred seventy-six".